{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 一维数据"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 常用 "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "jp-MarkdownHeadingCollapsed": true
   },
   "source": [
    "#### array 数组"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 1, 21,  3, 14,  5])"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x11b1903e0>]"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = np.array([1,21,3,14,5])\n",
    "X1 = np.array([1,2,3,4,5,6])\n",
    "display(X)\n",
    "a = plt.plot(X,label=\"line1\")\n",
    "_ = plt.plot(X1,label=\"line2\")\n",
    "plt.plot([1, 2, 3], [4, 2, 9], 'go-', label='line 1', linewidth=4)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "jp-MarkdownHeadingCollapsed": true
   },
   "source": [
    "#### linspace 等差数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 1.,  5.,  9., 13.])"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = np.array([1,2,3,4])\n",
    "y = np.linspace(1,13,4)\n",
    "display(y)\n",
    "_ = plt.scatter(X,y)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### arange 指定步长数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0,  5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80,\n",
       "       85, 90, 95])"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = np.arange(0,100,5)\n",
    "display(X)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### random.uniform 均匀分布随机样本"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([18.41456286, 98.10004059, 17.76045818, 30.24069477, 13.19773702,\n",
       "       86.15613577, 90.6248078 , 68.09182803, 61.49633287, 43.92019546])"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = np.linspace(1,20,500)\n",
    "y = np.random.uniform(1,100,500)\n",
    "display(y[:10])\n",
    "_= plt.scatter(X,y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### random.randint 均匀分布随机样本"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([26, 82, 24, 22, 10, 93, 10, 15, 36, 31])"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = np.linspace(1,20,500)\n",
    "y = np.random.randint(1,100,500)\n",
    "display(y[:10])\n",
    "_= plt.scatter(X,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1, 1, 1, 0],\n",
       "       [0, 0, 2, 3]])"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "array([1, 2, 3])"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "array([5, 5, 9])"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "array([[ 8,  7,  9,  7],\n",
       "       [ 9, 11, 18, 16],\n",
       "       [16,  5, 28,  9]], dtype=uint8)"
      ]
     },
     "execution_count": 91,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X = np.random.randint(5, size=(2, 4))\n",
    "display(X)\n",
    "\n",
    "display(np.random.randint(1, [3, 5, 10])) # 产生3个最大为，3，5，10 的三个数据\n",
    "\n",
    "display(np.random.randint([2,4,5], [9, 8, 10])) # 产生3个最大为，9，8，10 的 ，最小 2，4，5的三个数据\n",
    "\n",
    "np.random.randint([8, 3, 5, 7], [[10], [20], [30]], dtype=np.uint8) # 产生3x4 每行最大为，10，20，30 的 ，每列最小 8 3 5 7的数据\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### logspace"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([3.0000e+00, 8.1000e+01, 2.1870e+03, 5.9049e+04])"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "2187"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X = np.logspace(1,10,4,base=3)\n",
    "display(X)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### zeros"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0., 0., 0., 0., 0.])"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "array([[0., 0., 0.],\n",
       "       [0., 0., 0.],\n",
       "       [0., 0., 0.]])"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "array([[[0., 0., 0.],\n",
       "        [0., 0., 0.],\n",
       "        [0., 0., 0.]],\n",
       "\n",
       "       [[0., 0., 0.],\n",
       "        [0., 0., 0.],\n",
       "        [0., 0., 0.]],\n",
       "\n",
       "       [[0., 0., 0.],\n",
       "        [0., 0., 0.],\n",
       "        [0., 0., 0.]]])"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = np.zeros(5)\n",
    "display(X)\n",
    "X = np.zeros((3,3))\n",
    "display(X)\n",
    "X = np.zeros((3,3,3))\n",
    "display(X)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### ones"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1., 1., 1., 1., 1.])"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "array([[1., 1., 1.],\n",
       "       [1., 1., 1.],\n",
       "       [1., 1., 1.]])"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = np.ones(5)\n",
    "display(X)\n",
    "X = np.ones((3,3))\n",
    "display(X)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### full"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([10, 10, 10, 10, 10])"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "array([[8, 8, 8],\n",
       "       [8, 8, 8],\n",
       "       [8, 8, 8]])"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = np.full(5,10)\n",
    "display(X)\n",
    "X = np.full((3,3),8)\n",
    "display(X)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### identity 单位矩阵"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1., 0., 0., 0.],\n",
       "       [0., 1., 0., 0.],\n",
       "       [0., 0., 1., 0.],\n",
       "       [0., 0., 0., 1.]])"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.identity(4)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### min max unique"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 5, 18,  2, 11, 10, 15,  9, 13, 12,  5],\n",
       "       [16, 16, 19,  5,  7,  4, 13, 19, 18, 15],\n",
       "       [19,  4, 15, 10,  3, 19,  1,  4, 10,  4],\n",
       "       [ 8,  9, 15, 12, 19, 18,  1,  4,  3, 16],\n",
       "       [19,  5,  8, 17,  4,  1,  1, 15,  4,  3],\n",
       "       [11,  8,  1, 17,  3, 14, 14,  8, 19, 16],\n",
       "       [15,  1,  7, 17,  1,  1, 12,  5, 18,  6],\n",
       "       [ 3, 16, 18,  4, 12,  6, 10,  8, 19, 16],\n",
       "       [12,  9,  3, 17, 12,  6,  2, 11,  9,  6],\n",
       "       [17,  7, 14, 11, 19,  8, 14,  6,  4, 14]])"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "1"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "19"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "array([ 1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, 16, 17,\n",
       "       18, 19])"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "array([3, 1, 1, 4, 1, 1, 1, 4, 3, 3])"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "array([18, 19, 19, 19, 19, 19, 18, 19, 17, 19])"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "array([[ 3, 16, 18,  4, 12,  6, 10,  8, 19, 16],\n",
       "       [ 5, 18,  2, 11, 10, 15,  9, 13, 12,  5],\n",
       "       [ 8,  9, 15, 12, 19, 18,  1,  4,  3, 16],\n",
       "       [11,  8,  1, 17,  3, 14, 14,  8, 19, 16],\n",
       "       [12,  9,  3, 17, 12,  6,  2, 11,  9,  6],\n",
       "       [15,  1,  7, 17,  1,  1, 12,  5, 18,  6],\n",
       "       [16, 16, 19,  5,  7,  4, 13, 19, 18, 15],\n",
       "       [17,  7, 14, 11, 19,  8, 14,  6,  4, 14],\n",
       "       [19,  4, 15, 10,  3, 19,  1,  4, 10,  4],\n",
       "       [19,  5,  8, 17,  4,  1,  1, 15,  4,  3]])"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X = np.random.randint(1,20,size=(10,10))\n",
    "display(X,np.min(X),np.max(X),np.unique(X))\n",
    "display(np.min(X,axis=0),np.max(X,axis=1))\n",
    "np.unique(X,axis=0)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 2,  5,  5,  9, 10, 11, 12, 13, 15, 18],\n",
       "       [19, 15, 16, 13,  7,  5, 18, 19,  4, 16],\n",
       "       [15,  4, 19,  1,  3, 10, 10,  4, 19,  4],\n",
       "       [15, 16,  8,  1, 19, 12,  3,  4, 18,  9],\n",
       "       [ 8,  3, 19,  1,  4, 17,  4, 15,  1,  5],\n",
       "       [ 1, 16, 11, 14,  3, 17, 19,  8, 14,  8],\n",
       "       [ 7,  6, 15, 12,  1, 17, 18,  5,  1,  1],\n",
       "       [18, 16,  3, 10, 12,  4, 19,  8,  6, 16],\n",
       "       [ 3,  6, 12,  2, 12, 17,  9, 11,  6,  9],\n",
       "       [14, 14, 17, 14, 19, 11,  4,  6,  8,  7]])"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.unique(X,axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 线性"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 1.   ,  3.375,  5.75 ,  8.125, 10.5  , 12.875, 15.25 , 17.625,\n",
       "       20.   ])"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(9,)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = np.linspace(1,20,9)\n",
    "display(X,X.shape)\n",
    "_ = plt.plot(X)  # 绘制线图"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 曲线"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = np.linspace(-20,20,500)\n",
    "y = np.cos(X)\n",
    "_ = plt.scatter(X,y) # 绘点图"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
